105820581 has 16 divisors (see below), whose sum is σ = 144111744. Its totient is φ = 69053184.

The previous prime is 105820573. The next prime is 105820607. The reversal of 105820581 is 185028501.

It is not a de Polignac number, because 105820581 - 2³ = 105820573 is a prime.

It is a super-2 number, since 2×105820581² = 22395990726355122, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105820541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28240 + ... + 31766.

It is an arithmetic number, because the mean of its divisors is an integer number (9006984).

Almost surely, 2^105820581 is an apocalyptic number.

It is an amenable number.

105820581 is a deficient number, since it is larger than the sum of its proper divisors (38291163).

105820581 is a wasteful number, since it uses less digits than its factorization.

105820581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740.

The product of its (nonzero) digits is 3200, while the sum is 30.

The square root of 105820581 is about 10286.9130938295. The cubic root of 105820581 is about 472.9951786417.

The spelling of 105820581 in words is "one hundred five million, eight hundred twenty thousand, five hundred eighty-one".